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Finding the Fourth Proportional to 74.96, 110.86 and 74.96

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Solution

The fourth proportional to 74.96, 110.86 and 74.96 is: 110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 110.86 = 74.96 : x
  2. Step 2: Convert to fraction form
    74.96/110.86 = 74.96/x
  3. Step 3: Cross multiply
    74.96x = 110.86 × 74.96
  4. Step 4: Simplify right side
    74.96x = 8,310.07
  5. Step 5: Solve for x
    x = 8,310.07/74.96
  6. Step 6: Final answer
    x = 110.86

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.